1/2, 1/6, 1/6, 1/61) If you spin once, what is the probability of getting each dollar

amount (fractions)?

2) If you spin twice, what is the probability of getting $100 and then $200?

3) If you spin twice, what is the probability of getting a sum of $600?

1/12

$100 $100

$200$300

$40060°

60°60°

90° 90°

1/12

More Warm up.Use your calculator to find the decimal answer. Round to the nearest hundred

26 45 2

52 52

4 2 3.05 .10 .25

9 9 9

= 2.35

= 0.13

Benchmark Question #1

Use the table of values to determine the function represented.

c

a)g(x) = x b) g(x) = x2

c) g(x) = IxI d) g(x) = x3

Benchmark Question #2

a) The measure of angle C is the least of the three angles.

b) The measure of angle C is the greatest of the three angles

c) The measure of angle B is the greatest of the three angles

d) The measure of angle B is the least of the three angles

b

In Triangle ABC, AC=6, AB=7, and BC=5.Which of the following statements is true?

Benchmark Question #3

a) -4

b) -10/3

c) -7/2

d) -5/3

c

Based on the graph of the following function, what is the greatest rate of decrease for the function?

Benchmark Question #4

a)

b)

c)

d)

d

Add the following.

GPS ALGEBRA

UNIT QUESTION: How do you use probability to make plans and predict for the future?Standard: MM1D1-3

Today’s Question:When do you find the expected value of an experiment?Standard: MM1D2.d.

Expected Value

A collection of outcomes is partitioned into n events, no two of which have any outcomes in common. The probabilities of the n events occurring are p1, p2, p3,..., pn where p1 + p2 + p3 + pn = 1. The values of the n events are x1, x2, x3,..., xn.

E = p1x1 + p2x2 + p3x3 + ... + pnxn

Example 1

Find the expected value.

E P(E)

1 .20

2 .30

3 .10

4 .40

E = 1(.20) + 2(.30) + 3(.10) + 4(.40) = 2.7

If I do this experiment 10 times, what total value would you expect to get?

Example 2

You take an exam that has 4 possible answers for each question. You gain 3 points for each correct answer, lose 1 point for each incorrect answer, and do not gain or lose points for blank answers. If you guess on a question, what is the expected value for the number of points you receive?

E = (3)(1/4) + (-1)(3/4) = 0

Example 3

At a raffle, 2500 tickets are sold at $5 each for 3 prizes of $1000, $500, and $100. You buy one ticket. What is the expected value of your winnings?

E = 995(1/2500) + 495(1/2500) + 95(1/2500) + (-5)(2497/2500)

= $ –4.36

Gain,x $995 $495 $95 -$5

Prob, p 1/2500 1/2500 1/2500 2497/

2500

ClassworkWorkbook (pages 375-376)